Question 234149
<font face="Garamond" size="+2">


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \forall\,x\,\in\,]&#8450;,*[tex \LARGE \ x^0\ =\ 1]


Therefore if *[tex \LARGE x^0] was "cancelled" when adding like terms, there must have been a -1 somewhere to cancel it.  Now if *[tex \LARGE x^0] is a <i>factor</i> (as opposed to a <i>term</i>), then it can just go away because


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \forall\,a\,\in\,]&#8450;,*[tex \LARGE \ a\,\cdot\,1\ =\ a] 



John
*[tex \LARGE e^{i\pi} + 1 = 0]
</font>